Turbine nozzle airfoil profile

ABSTRACT

A turbine nozzle for a gas turbine includes: an airfoil having an airfoil shape having a nominal profile substantially in accordance with at least a portion of Cartesian coordinate values of X, Y and Z set forth in TABLE I. The Cartesian coordinate values are non-dimensional values of from 0% to 100% convertible to distances by multiplying the values by a height of the airfoil expressed in units of distance. The X and Y values are connected by smooth continuing arcs that define airfoil profile sections at each distance Z along at least a portion of the airfoil, and the airfoil profile sections at the Z distances are joined smoothly with one another to form the nominal profile.

TECHNICAL FIELD

The subject matter disclosed herein relates to turbomachines. More particularly, the subject matter disclosed herein relates to a turbine nozzle airfoil profile for a turbine nozzle.

BACKGROUND OF THE DISCLOSURE

Some jet aircraft and simple cycle or combined cycle power plant systems employ turbines, or so-called turbomachines, in their design and operation. Some of these turbines employ airfoils (e.g., turbine nozzles, blades, airfoils, etc.), which during operation are exposed to fluid flows. These airfoils are configured to aerodynamically interact with the fluid flows and generate energy from these fluid flows as part of power generation. For example, the airfoils may be used to create thrust, to convert kinetic energy to mechanical energy, and/or to convert thermal energy to mechanical energy. As a result of this interaction and conversion, the aerodynamic characteristics of these airfoils may result in losses that have an impact on system and turbine operation, performance, thrust, efficiency, and power.

BRIEF DESCRIPTION OF THE DISCLOSURE

Various embodiments of the disclosure include turbine nozzles and systems employing such nozzles. Various particular embodiments include a turbine nozzle having: an airfoil having: a suction side; a pressure side opposing the suction side; a leading edge spanning between the pressure side and the suction side; and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and at least one endwall connected with the airfoil along the suction side, the pressure side, the trailing edge and the leading edge.

A first aspect of the disclosure includes a turbine nozzle comprising: an airfoil having: a suction side, a pressure side opposing the suction side, a leading edge spanning between the pressure side and the suction side, and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and at least one endwall connected with the airfoil along the suction side, the pressure side, the trailing edge and the leading edge, wherein at least one of a suction side or a pressure side of the airfoil has a shape having a nominal profile substantially in accordance with at least a portion of Cartesian coordinate values of X, Y and Z set forth in TABLE I, wherein the Cartesian coordinate values are non-dimensional values of from 0% to 100% convertible to distances by multiplying the values by a height of the airfoil expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define airfoil profile sections at each distance Z along at least a portion of the airfoil, the airfoil profile sections at the Z distances being joined smoothly with one another to form the nominal profile.

A second aspect of the disclosure includes a static nozzle section for a turbine, the static nozzle section comprising: a set of static nozzles, the set of static nozzles including at least one nozzle having: an airfoil having: a suction side, a pressure side opposing the suction side, a leading edge spanning between the pressure side and the suction side, and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and at least one endwall connected with the airfoil along the suction side, the pressure side, the trailing edge and the leading edge, wherein at least one of a suction side or a pressure side of the airfoil has a shape having a nominal profile substantially in accordance with at least a portion of Cartesian coordinate values of X, Y and Z set forth in TABLE I, wherein the Cartesian coordinate values are non-dimensional values of from 0% to 100% convertible to distances by multiplying the values by a height of the airfoil expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define airfoil profile sections at each distance Z along at least a portion of the airfoil, the airfoil profile sections at the Z distances being joined smoothly with one another to form the nominal profile.

A third aspect of the disclosure includes a turbine comprising a plurality of turbine nozzles, each of the turbine nozzles comprising: an airfoil having: a suction side, a pressure side opposing the suction side, a leading edge spanning between the pressure side and the suction side, and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and at least one endwall connected with the airfoil along the suction side, the pressure side, the trailing edge and the leading edge, wherein at least one of a suction side or a pressure side of the airfoil has a shape having a nominal profile substantially in accordance with at least a portion of Cartesian coordinate values of X, Y and Z set forth in TABLE I, wherein the Cartesian coordinate values are non-dimensional values of from 0% to 100% convertible to distances by multiplying the values by a height of the airfoil expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define airfoil profile sections at each distance Z along at least a portion of the airfoil, the airfoil profile sections at the Z distances being joined smoothly with one another to form the nominal profile.

BRIEF DESCRIPTION OF THE DRAWINGS

These and other features of this disclosure will be more readily understood from the following detailed description of the various aspects of the disclosure taken in conjunction with the accompanying drawings that depict various embodiments of the disclosure, in which:

FIG. 1 is a schematic illustration of an illustrative turbomachine;

FIG. 2 is a cross-section illustration of a four-stage turbine that may be used with the illustrative turbomachine in FIG. 1;

FIG. 3 shows a schematic three-dimensional view of an illustrative turbine nozzle including an airfoil and endwalls, according to various embodiments of the disclosure;

FIG. 4 shows a schematic three-dimensional view of a plurality of turbine nozzles, according to various embodiments of the disclosure;

FIG. 5 shows a schematic view of an origin of an airfoil of a turbine nozzle, according to various embodiments of the disclosure; and

FIG. 6 shows a schematic three-dimensional view of an illustrative turbine nozzle including an airfoil and endwalls, according to various embodiments of the disclosure.

It is noted that the drawings of the disclosure are not necessarily to scale. The drawings are intended to depict only typical aspects of the disclosure and therefore should not be considered as limiting the scope of the disclosure. In the drawings, like numbering represents like elements between the drawings.

DETAILED DESCRIPTION

As an initial matter, in order to clearly describe the current technology, it will become necessary to select certain terminology when referring to and describing relevant machine components within a turbomachine. To the extent possible, common industry terminology will be used and employed in a manner consistent with its accepted meaning. Unless otherwise stated, such terminology should be given a broad interpretation consistent with the context of the present application and the scope of the appended claims. Those of ordinary skill in the art will appreciate that often a particular component may be referred to using several different or overlapping terms. What may be described herein as being a single part may include and be referenced in another context as consisting of multiple components. Alternatively, what may be described herein as including multiple components may be referred to elsewhere as a single part.

In addition, several descriptive terms may be used regularly herein, and it should prove helpful to define these terms at the onset of this section. These terms and their definitions, unless stated otherwise, are as follows. As used herein, “downstream” and “upstream” are terms that indicate a direction relative to the flow of a fluid, such as the working fluid through the turbine engine or, for example, the flow of air through the combustor or coolant through one of the turbine's component systems. The term “downstream” corresponds to the direction of flow of the fluid, and the term “upstream” refers to the direction opposite to the flow. The terms “forward” and “aft,” without any further specificity, refer to directions, with “forward” referring to the front or compressor end of the engine, and “aft” referring to the rearward or turbine end of the engine.

It is often required to describe parts that are disposed at differing radial positions with regard to a center axis. The term “radial” refers to movement or position perpendicular to an axis. For example, if a first component resides closer to the axis than a second component, it will be stated herein that the first component is “radially inward” or “inboard” of the second component. If, on the other hand, the first component resides further from the axis than the second component, it may be stated herein that the first component is “radially outward” or “outboard” of the second component. The term “axial” refers to movement or position parallel to an axis. Finally, the term “circumferential” refers to movement or position around an axis. It will be appreciated that such terms may be applied in relation to the center axis of the turbine.

In addition, several descriptive terms may be used regularly herein, as described below. The terms “first”, “second”, and “third” may be used interchangeably to distinguish one component from another and are not intended to signify location or importance of the individual components.

The terminology used herein is for the purpose of describing particular embodiments only and is not intended to be limiting of the disclosure. As used herein, the singular forms “a”, “an” and “the” are intended to include the plural forms as well, unless the context clearly indicates otherwise. It will be further understood that the terms “comprises” and/or “comprising,” when used in this specification, specify the presence of stated features, integers, steps, operations, elements, and/or components but do not preclude the presence or addition of one or more other features, integers, steps, operations, elements, components, and/or groups thereof. “Optional” or “optionally” means that the subsequently described event or circumstance may or may not occur, and that the description includes instances where the event occurs and instances where it does not.

Where an element or layer is referred to as being “on,” “engaged to,” “connected to” or “coupled to” another element or layer, it may be directly on, engaged to, connected to, or coupled to the other element or layer, or intervening elements or layers may be present. In contrast, when an element is referred to as being “directly on,” “directly engaged to,” “directly connected to” or “directly coupled to” another element or layer, there may be no intervening elements or layers present. Other words used to describe the relationship between elements should be interpreted in a like fashion (e.g., “between” versus “directly between,” “adjacent” versus “directly adjacent,” etc.). As used herein, the term “and/or” includes any and all combinations of one or more of the associated listed items.

As noted herein, various aspects of the disclosure are directed toward turbine nozzles. Various embodiments include a turbine nozzle having: an airfoil having an airfoil shape having a nominal profile substantially in accordance with at least a portion of Cartesian coordinate values of X, Y and Z set forth in TABLE I. The Cartesian coordinate values are non-dimensional values of from 0% to 100% convertible to distances by multiplying the values by a height of the airfoil expressed in units of distance. The X and Y values are connected by smooth continuing arcs that define airfoil profile sections at each distance Z along at least a portion of the airfoil, and the airfoil profile sections at the Z distances being joined smoothly with one another to form the nominal airfoil profile.

Referring to the drawings, FIG. 1 is a schematic view of an illustrative turbomachine 90 in the form of a combustion turbine or gas turbine (GT) system 100 (hereinafter “GT system 100”). GT system 100 includes a compressor 102 and a combustor 104. Combustor 104 includes a combustion region 105 and a fuel nozzle assembly 106. GT system 100 also includes a turbine 108 and a common compressor/turbine shaft 110 (hereinafter referred to as “rotor 110”). In one embodiment, GT system 100 is a 7HA.03 engine, commercially available from General Electric Company, Greenville, S.C. The present disclosure is not limited to any one particular GT system and may be implanted in connection with other engines including, for example, the other HA, F, B, LM, GT, TM and E-class engine models of General Electric Company and engine models of other companies. Further, the teachings of the disclosure are not necessarily applicable to only a GT system and may be applied to other types of turbomachines, e.g., steam turbines, jet engines, compressors, etc.

FIG. 2 shows a cross-section view of an illustrative portion of turbine 108 with four stages L0-L3 that may be used with GT system 100 in FIG. 1. The four stages are referred to herein as L0, L1, L2, and L3. Stage L0 is the first stage and is the smallest (in a radial direction) of the four stages. Stage L1 is the second stage and is the next stage in an axial direction. Stage L2 is the third stage and is the next stage in an axial direction. Stage L3 is the fourth, last stage and is the largest (in a radial direction). It is to be understood that four stages are shown as one example only, and each turbine may have more or less than four stages.

A set of stationary vanes or nozzles 112 cooperate with a set of rotating blades 114 to form each stage L0-L3 of turbine 108 and to define a portion of a flow path through turbine 108. Rotating blades 114 in each set are coupled to a respective rotor wheel 116 that couples them circumferentially to rotor 110. That is, a plurality of rotating blades 114 are mechanically coupled in a circumferentially spaced manner to each rotor wheel 116. A static nozzle section 115 includes a plurality of stationary nozzles 112 circumferentially spaced around rotor 110. Each nozzle 112 may include at least one endwall (or platform) 120, 122 connected with airfoil 130. In the example shown, nozzle 112 includes a radially outer endwall 120 and a radially inner endwall 122. Radially outer endwall 120 couples nozzle(s) 112 to a casing 124 of turbine 108.

In operation, air flows through compressor 102, and compressed air is supplied to combustor 104. Specifically, the compressed air is supplied to fuel nozzle assembly 106 that is integral to combustor 104. Fuel nozzle assembly 106 is in flow communication with combustion region 105. Fuel nozzle assembly 106 is also in flow communication with a fuel source (not shown in FIG. 1) and channels fuel and air to combustion region 105. Combustor 104 ignites and combusts fuel. Combustor 104 is in flow communication with turbine 108 within which gas stream thermal energy is converted to mechanical rotational energy. Turbine 108 is rotatably coupled to and drives rotor 110. Compressor 102 also is rotatably coupled to rotor 110. In the illustrative embodiment, there is a plurality of combustors 104 and fuel nozzle assemblies 106. In the following discussion, unless otherwise indicated, only one of each component will be discussed. At least one end of rotor 110 may extend axially away from turbine 108 and may be attached to a load or machinery (not shown) such as, but not limited to, a generator, a load compressor, and/or another turbine.

Turning to FIG. 3, a schematic three-dimensional view of a turbine nozzle (or simply, nozzle) 112 is shown according to various embodiments to better illustrate the parts of a nozzle. Nozzle 112 is a stationary nozzle which forms part of static nozzle section 115 (FIG. 2) and which forms part of an annulus of stationary nozzles in a stage of a turbine (e.g., turbine 108), as previously described. That is, during operation of a turbine (e.g., turbine 108), nozzle 112 will remain stationary in order to direct the flow of working fluid (e.g., gas or steam) to one or more movable blades (e.g., blades 114), causing those movable blades to initiate rotation of a rotor 110. It is understood that nozzle 112 may be configured to couple (mechanically couple via fasteners, welds, slot/grooves, etc.) with a plurality of similar or distinct nozzles (e.g., nozzles 112 or other nozzles) to form an annulus of nozzles in a stage L0-L3 of turbine 108.

Turbine nozzle 112 can include an airfoil 130 having a convex suction side 132, and a concave pressure side 134 (obstructed in FIG. 3) opposing suction side 132. Nozzle 112 can also include a leading edge 136 spanning between pressure side 134 and suction side 132, and a trailing edge 138 opposing leading edge 136 and spanning between pressure side 134 and suction side 132. As shown, and as previously noted, nozzle 112 can also include at least one endwall 120, 122 (two shown) connected with airfoil 130 along suction side 132, pressure side 134, trailing edge 138 and leading edge 136. In the example shown, nozzle 112 includes a radially outer endwall 120 and a radially inner endwall 122. Radially outer endwalls 120 are configured to align on the radially outer side of the static nozzle section and to couple respective nozzle(s) 112 to casing 124 (FIG. 2) of turbine 108 (FIG. 2). Radially inner endwalls 122 are configured to align on the radially inner side of static nozzle section 115 (FIG. 2).

In various embodiments, nozzle 112 includes a fillet 140, 142 connecting airfoil 130 and each respective endwall 120, 122. Fillet 140 can include a weld or braze fillet, which may be formed via conventional metal-inert gas (MIG) welding, tungsten-inert gas (TIG) welding, brazing, etc. Fillets 140, 142 can overlap a portion of airfoil 130. The extent of overlap can vary from nozzle to nozzle, stage to stage, and/or turbine to turbine.

With reference again to FIG. 2, in various embodiments, nozzle 112 can include a first stage (L0) nozzle, second stage (L1) nozzle, third stage (L2) nozzle, or fourth stage (L3) nozzle. In particular embodiments, nozzle 112 is a fourth stage (L3) nozzle, and the improved flow profile across the interface between airfoil 130 and endwall 120, 122 allows fourth stage (L3) nozzle to withstand high-temperature gas at the fourth stage. In various embodiments, turbine 108 can include a set of nozzles 112 in only second stage (L1) of turbine 108, or in only third stage (L2), or in only fourth stage (L3) of turbine 108.

With reference to FIG. 4 and with continuing reference to FIG. 3, suction side 132 and/or pressure side 134 of airfoil 130 shape has a nominal profile that can be expressed substantially in accordance with at least a portion of the Cartesian coordinates, i.e., X, Y, Z coordinates, set forth in TABLE I. A “profile” is the range of the variation between measured points on an airfoil surface and the ideal position listed in TABLE I. The actual profile on a manufactured turbine nozzle will be different from that defined in TABLE I, and the design is robust to this variation, meaning that mechanical and aerodynamic function are not impaired.

To allow for typical manufacturing tolerances and/or coating thicknesses, ±values can be added to the values listed in TABLE I, particularly to the X and Y values therein. For example, a tolerance of about 10-20 percent of a thickness of trailing edge 138 in a direction normal to any surface location along the airfoil profile can define an airfoil profile envelope for a nozzle airfoil design at cold or room temperature. In other words, a distance of about 10-20 percent of a thickness of the trailing edge in a direction normal to any surface location along the airfoil profile can define a range of variation between measured points on an actual airfoil surface and ideal positions of those points, particularly at a cold or room temperature, as embodied by the disclosure. The nozzle airfoil layout, as embodied by the disclosure, is robust to this range of variation without impairment of mechanical and aerodynamic functions.

The Cartesian coordinate system of X, Y and Z values given in TABLE I below defines the profile of the turbine nozzle airfoil (i.e., airfoil 130) at various locations along its height. To illustrate, FIG. 4 shows a plurality of cross sections 160-170 along span or height H that correspond to Z coordinate values of chord lines. Each cross section 160-170 of airfoil 130 can be described by a respective set of X and Y coordinates (from TABLE I). For example, 100 or more points can be listed for each of the pressure side and the suction side that collectively define each cross section 160-170, though it should be apparent that more or fewer points can be used for each cross section, and more or fewer cross sections can be used, as may be desired and/or appropriate.

The coordinate values are stated as non-dimensional values of from 0% to 100% (percentages in TABLE I) convertible to distances by multiplying the values by a height H of airfoil 130 expressed in units of distance. While the X, Y, and Z coordinate values in TABLE I have been expressed in normalized or non-dimensionalized form, it should be apparent that any or all of the coordinate values could instead be expressed in distance units so long as the proportions are maintained. Specifically, the profile and/or layout can be scaled uniformly up or down, such as geometrically, without impairment of operation, and such scaling can be facilitated by use of normalized coordinate values, i.e., multiplying the normalized values by a common scaling factor, which may be a larger or smaller number of distance units than might have originally been used. For example, the values in TABLE I, particularly the X and Y values, could be multiplied by a scaling factor of 0.5, 2, or any other desired scaling factor, to uniformly geometrically scale. Alternatively, the values could be multiplied by a larger or smaller desired height H.

As discussed above, to convert an X, Y or Z value of TABLE I to a respective X, Y or Z coordinate value in units of distance, such as inches or meters, the non-dimensional X, Y or Z value given in TABLE I can be multiplied by a height H of airfoil 130 in such units of distance. Hence, the profile can be applied to airfoils of different heights H. By connecting the X and Y values with smooth continuing arcs, each profile cross section at each height Z (i.e., cross sections 160-170) can be fixed. The airfoil profiles of the various surface locations between the heights Z (in TABLE I) can be determined by smoothly connecting adjacent profile sections to one another, thus forming the nominal airfoil profile. Further, it is noted that where an airfoil profile section uses Z coordinate values not expressly stated in TABLE I, appropriate coordinate values can be mathematically extrapolated from TABLE I.

The values in TABLE I are generated and shown to three decimal places for determining the nominal profile of at least one of a suction side or a pressure side of airfoil 130 at ambient, non-operating, or non-hot conditions and do not take any coatings or fillets 140, 142 (FIG. 3) into account, though embodiments could account for other conditions, coatings, and/or fillets. The Cartesian coordinate values have an origin at an innermost point 172 (FIGS. 4 and 5) of leading edge 136 of airfoil 130 at the terminal end of airfoil 130. As shown in FIG. 5, it is understood that innermost point 172 may be covered by fillet 140 and that innermost point 172 may be one of the points of cross section 160. Further, as shown in FIG. 4, cross sections 160 or 170 may be covered by fillet 140, 142, respectively.

While FIG. 4 shows nozzles 112 that employs all of the data from the Cartesian coordinate values of X, Y, and Z set forth in TABLE I (i.e., all data from 0% to 100%), it is possible that an airfoil profile for a nozzle uses only a selected portion or subset of Cartesian coordinate values of X, Y, and X set forth in TABLE I. For instance, while the Cartesian values in TABLE I provide Z coordinate values at 10% increments between 0% and 100%, only a portion of Cartesian coordinate values set forth in TABLE I may be employed. In one example, the airfoil profile sections may use a portion of Z coordinate values defined within 10% and 90% of the height of the airfoil, i.e., from cross sections 161 to 169. In another example, the airfoil profile sections may use a portion of the Cartesian coordinate values defined within 5% and 95% of the height of the airfoil, i.e., from a plane midway between cross sections 160 and 161 to a plane midway between cross sections 169 and 170. Any portion of Cartesian coordinate values of X, Y and Z set forth in TABLE I may be employed, e.g., from 20% to 30%, 37%-50%, etc.

FIG. 6 shows a perspective view of a nozzle 112 that employs only a selected portion of the Cartesian coordinate values of X, Y and Z set forth in TABLE I to define a section of the span of the airfoil of nozzle 112. For example, a nozzle 112 may be made using coordinate values that represent a selected section of airfoil 130, such as from 40% of the height to 55% of the height, as shown by shading in FIG. 6. As shown in FIG. 6, a nozzle 112 that has, for example, a selected section of airfoil 130 may have an origin 172′ that dictates the relative position of the selected portion, e.g., 40%-55%, of the Cartesian coordinate values of X, Y and Z set forth in TABLE I. Coordinates other than those provided in TABLE I may be used to define the rest of the span of the airfoil of nozzle 112 (i.e., from 0% to 40% and from 55% to 100%), including the origin 172′ at a terminal end of the airfoil at its leading edge.

TABLE I Non-dimensionalized (%) N Location X Y Z 1 Suction-Side 0 0 0 2 Suction-Side −0.068 −0.517 0 3 Suction-Side −0.025 −1.040 0 4 Suction-Side 0.119 −1.549 0 5 Suction-Side 0.340 −2.026 0 6 Suction-Side 0.625 −2.472 0 7 Suction-Side 0.954 −2.881 0 8 Suction-Side 1.319 −3.257 0 9 Suction-Side 1.715 −3.605 0 10 Suction-Side 2.134 −3.924 0 11 Suction-Side 2.569 −4.214 0 12 Suction-Side 3.019 −4.478 0 13 Suction-Side 3.482 −4.720 0 14 Suction-Side 3.957 −4.938 0 15 Suction-Side 4.444 −5.137 0 16 Suction-Side 4.939 −5.314 0 17 Suction-Side 5.437 −5.472 0 18 Suction-Side 5.939 −5.611 0 19 Suction-Side 6.445 −5.731 0 20 Suction-Side 6.955 −5.832 0 21 Suction-Side 7.468 −5.913 0 22 Suction-Side 7.986 −5.975 0 23 Suction-Side 8.508 −6.016 0 24 Suction-Side 9.033 −6.036 0 25 Suction-Side 9.559 −6.036 0 26 Suction-Side 10.081 −6.015 0 27 Suction-Side 10.600 −5.974 0 28 Suction-Side 11.116 −5.912 0 29 Suction-Side 11.629 −5.831 0 30 Suction-Side 12.140 −5.730 0 31 Suction-Side 12.648 −5.610 0 32 Suction-Side 13.153 −5.471 0 33 Suction-Side 13.654 −5.312 0 34 Suction-Side 14.149 −5.137 0 35 Suction-Side 14.635 −4.945 0 36 Suction-Side 15.114 −4.737 0 37 Suction-Side 15.585 −4.514 0 38 Suction-Side 16.049 −4.276 0 39 Suction-Side 16.506 −4.024 0 40 Suction-Side 16.956 −3.758 0 41 Suction-Side 17.399 −3.478 0 42 Suction-Side 17.835 −3.184 0 43 Suction-Side 18.262 −2.881 0 44 Suction-Side 18.678 −2.567 0 45 Suction-Side 19.085 −2.243 0 46 Suction-Side 19.484 −1.910 0 47 Suction-Side 19.874 −1.568 0 48 Suction-Side 20.256 −1.218 0 49 Suction-Side 20.630 −0.859 0 50 Suction-Side 20.996 −0.492 0 51 Suction-Side 21.355 −0.117 0 52 Suction-Side 21.706 0.266 0 53 Suction-Side 22.050 0.656 0 54 Suction-Side 22.388 1.053 0 55 Suction-Side 22.718 1.458 0 56 Suction-Side 23.042 1.870 0 57 Suction-Side 23.359 2.287 0 58 Suction-Side 23.669 2.708 0 59 Suction-Side 23.974 3.133 0 60 Suction-Side 24.275 3.562 0 61 Suction-Side 24.571 3.993 0 62 Suction-Side 24.863 4.428 0 63 Suction-Side 25.153 4.864 0 64 Suction-Side 25.440 5.302 0 65 Suction-Side 25.724 5.742 0 66 Suction-Side 26.005 6.183 0 67 Suction-Side 26.285 6.626 0 68 Suction-Side 26.562 7.070 0 69 Suction-Side 26.837 7.515 0 70 Suction-Side 27.111 7.961 0 71 Suction-Side 27.383 8.408 0 72 Suction-Side 27.654 8.856 0 73 Suction-Side 27.923 9.305 0 74 Suction-Side 28.191 9.755 0 75 Suction-Side 28.458 10.205 0 76 Suction-Side 28.723 10.656 0 77 Suction-Side 28.987 11.108 0 78 Suction-Side 29.251 11.560 0 79 Suction-Side 29.513 12.013 0 80 Suction-Side 29.774 12.467 0 81 Suction-Side 30.035 12.922 0 82 Suction-Side 30.294 13.376 0 83 Suction-Side 30.553 13.831 0 84 Suction-Side 30.811 14.286 0 85 Suction-Side 31.068 14.742 0 86 Suction-Side 31.325 15.199 0 87 Suction-Side 31.581 15.656 0 88 Suction-Side 31.837 16.112 0 89 Suction-Side 32.091 16.570 0 90 Suction-Side 32.345 17.028 0 91 Suction-Side 32.599 17.486 0 92 Suction-Side 32.851 17.944 0 93 Suction-Side 33.104 18.403 0 94 Suction-Side 33.356 18.861 0 95 Suction-Side 33.607 19.321 0 96 Suction-Side 33.858 19.780 0 97 Suction-Side 33.890 19.877 0 98 Suction-Side 33.883 19.979 0 99 Suction-Side 33.839 20.072 0 100 Suction-Side 33.764 20.140 0 101 Pressure-Side 0 0 0 102 Pressure-Side 0.145 0.417 0 103 Pressure-Side 0.365 0.803 0 104 Pressure-Side 0.642 1.144 0 105 Pressure-Side 0.967 1.443 0 106 Pressure-Side 1.327 1.701 0 107 Pressure-Side 1.712 1.918 0 108 Pressure-Side 2.116 2.101 0 109 Pressure-Side 2.530 2.250 0 110 Pressure-Side 2.950 2.370 0 111 Pressure-Side 3.376 2.464 0 112 Pressure-Side 3.807 2.535 0 113 Pressure-Side 4.242 2.584 0 114 Pressure-Side 4.681 2.612 0 115 Pressure-Side 5.122 2.622 0 116 Pressure-Side 5.562 2.613 0 117 Pressure-Side 6.001 2.586 0 118 Pressure-Side 6.439 2.547 0 119 Pressure-Side 6.877 2.502 0 120 Pressure-Side 7.315 2.462 0 121 Pressure-Side 7.752 2.433 0 122 Pressure-Side 8.188 2.414 0 123 Pressure-Side 8.624 2.403 0 124 Pressure-Side 9.058 2.400 0 125 Pressure-Side 9.492 2.407 0 126 Pressure-Side 9.926 2.423 0 127 Pressure-Side 10.358 2.450 0 128 Pressure-Side 10.789 2.486 0 129 Pressure-Side 11.220 2.531 0 130 Pressure-Side 11.650 2.587 0 131 Pressure-Side 12.079 2.653 0 132 Pressure-Side 12.507 2.728 0 133 Pressure-Side 12.935 2.814 0 134 Pressure-Side 13.361 2.909 0 135 Pressure-Side 13.787 3.014 0 136 Pressure-Side 14.212 3.129 0 137 Pressure-Side 14.634 3.252 0 138 Pressure-Side 15.052 3.385 0 139 Pressure-Side 15.466 3.526 0 140 Pressure-Side 15.876 3.675 0 141 Pressure-Side 16.283 3.831 0 142 Pressure-Side 16.686 3.996 0 143 Pressure-Side 17.086 4.167 0 144 Pressure-Side 17.482 4.347 0 145 Pressure-Side 17.875 4.533 0 146 Pressure-Side 18.265 4.727 0 147 Pressure-Side 18.651 4.928 0 148 Pressure-Side 19.035 5.135 0 149 Pressure-Side 19.415 5.350 0 150 Pressure-Side 19.792 5.571 0 151 Pressure-Side 20.165 5.799 0 152 Pressure-Side 20.536 6.034 0 153 Pressure-Side 20.903 6.275 0 154 Pressure-Side 21.266 6.521 0 155 Pressure-Side 21.624 6.773 0 156 Pressure-Side 21.977 7.029 0 157 Pressure-Side 22.327 7.290 0 158 Pressure-Side 22.671 7.556 0 159 Pressure-Side 23.011 7.826 0 160 Pressure-Side 23.348 8.101 0 161 Pressure-Side 23.680 8.379 0 162 Pressure-Side 24.008 8.662 0 163 Pressure-Side 24.333 8.950 0 164 Pressure-Side 24.653 9.241 0 165 Pressure-Side 24.970 9.536 0 166 Pressure-Side 25.284 9.834 0 167 Pressure-Side 25.594 10.136 0 168 Pressure-Side 25.901 10.442 0 169 Pressure-Side 26.205 10.752 0 170 Pressure-Side 26.505 11.064 0 171 Pressure-Side 26.803 11.380 0 172 Pressure-Side 27.097 11.699 0 173 Pressure-Side 27.389 12.021 0 174 Pressure-Side 27.677 12.346 0 175 Pressure-Side 27.963 12.675 0 176 Pressure-Side 28.247 13.006 0 177 Pressure-Side 28.527 13.339 0 178 Pressure-Side 28.805 13.676 0 179 Pressure-Side 29.081 14.015 0 180 Pressure-Side 29.354 14.356 0 181 Pressure-Side 29.624 14.700 0 182 Pressure-Side 29.892 15.045 0 183 Pressure-Side 30.157 15.392 0 184 Pressure-Side 30.420 15.742 0 185 Pressure-Side 30.680 16.092 0 186 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21.862 10 196 Pressure-Side 34.743 22.243 10 197 Pressure-Side 34.814 22.315 10 198 Pressure-Side 34.906 22.356 10 199 Pressure-Side 35.007 22.361 10 200 Pressure-Side 35.102 22.326 10 1 Suction-Side −0.763 2.271 20 2 Suction-Side −0.810 1.699 20 3 Suction-Side −0.717 1.134 20 4 Suction-Side −0.510 0.600 20 5 Suction-Side −0.221 0.106 20 6 Suction-Side 0.129 −0.346 20 7 Suction-Side 0.522 −0.757 20 8 Suction-Side 0.951 −1.135 20 9 Suction-Side 1.406 −1.481 20 10 Suction-Side 1.879 −1.795 20 11 Suction-Side 2.368 −2.082 20 12 Suction-Side 2.871 −2.343 20 13 Suction-Side 3.385 −2.582 20 14 Suction-Side 3.912 −2.800 20 15 Suction-Side 4.447 −2.997 20 16 Suction-Side 4.986 −3.173 20 17 Suction-Side 5.529 −3.329 20 18 Suction-Side 6.077 −3.463 20 19 Suction-Side 6.629 −3.575 20 20 Suction-Side 7.185 −3.666 20 21 Suction-Side 7.746 −3.735 20 22 Suction-Side 8.312 −3.782 20 23 Suction-Side 8.882 −3.806 20 24 Suction-Side 9.452 −3.807 20 25 Suction-Side 10.018 −3.786 20 26 Suction-Side 10.581 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Pressure-Side 19.830 8.007 20 148 Pressure-Side 20.248 8.247 20 149 Pressure-Side 20.661 8.492 20 150 Pressure-Side 21.069 8.743 20 151 Pressure-Side 21.472 8.999 20 152 Pressure-Side 21.871 9.260 20 153 Pressure-Side 22.266 9.526 20 154 Pressure-Side 22.656 9.798 20 155 Pressure-Side 23.042 10.073 20 156 Pressure-Side 23.424 10.354 20 157 Pressure-Side 23.801 10.639 20 158 Pressure-Side 24.175 10.929 20 159 Pressure-Side 24.545 11.223 20 160 Pressure-Side 24.911 11.522 20 161 Pressure-Side 25.273 11.825 20 162 Pressure-Side 25.632 12.132 20 163 Pressure-Side 25.987 12.443 20 164 Pressure-Side 26.338 12.758 20 165 Pressure-Side 26.686 13.077 20 166 Pressure-Side 27.031 13.400 20 167 Pressure-Side 27.372 13.726 20 168 Pressure-Side 27.710 14.057 20 169 Pressure-Side 28.045 14.390 20 170 Pressure-Side 28.377 14.728 20 171 Pressure-Side 28.705 15.068 20 172 Pressure-Side 29.032 15.412 20 173 Pressure-Side 29.355 15.760 20 174 Pressure-Side 29.675 16.110 20 175 Pressure-Side 29.992 16.464 20 176 Pressure-Side 30.307 16.821 20 177 Pressure-Side 30.619 17.180 20 178 Pressure-Side 30.929 17.543 20 179 Pressure-Side 31.236 17.908 20 180 Pressure-Side 31.541 18.276 20 181 Pressure-Side 31.843 18.647 20 182 Pressure-Side 32.143 19.021 20 183 Pressure-Side 32.440 19.396 20 184 Pressure-Side 32.734 19.773 20 185 Pressure-Side 33.026 20.152 20 186 Pressure-Side 33.315 20.533 20 187 Pressure-Side 33.601 20.916 20 188 Pressure-Side 33.886 21.301 20 189 Pressure-Side 34.168 21.687 20 190 Pressure-Side 34.449 22.075 20 191 Pressure-Side 34.726 22.464 20 192 Pressure-Side 35.002 22.855 20 193 Pressure-Side 35.276 23.248 20 194 Pressure-Side 35.548 23.642 20 195 Pressure-Side 35.818 24.037 20 196 Pressure-Side 36.086 24.434 20 197 Pressure-Side 36.157 24.505 20 198 Pressure-Side 36.248 24.544 20 199 Pressure-Side 36.347 24.547 20 200 Pressure-Side 36.441 24.512 20 1 Suction-Side −1.076 3.234 30 2 Suction-Side −1.101 2.641 30 3 Suction-Side −0.969 2.062 30 4 Suction-Side −0.719 1.525 30 5 Suction-Side −0.386 1.033 30 6 Suction-Side 0.003 0.590 30 7 Suction-Side 0.433 0.186 30 8 Suction-Side 0.897 −0.183 30 9 Suction-Side 1.382 −0.519 30 10 Suction-Side 1.883 −0.824 30 11 Suction-Side 2.399 −1.103 30 12 Suction-Side 2.928 −1.357 30 13 Suction-Side 3.469 −1.589 30 14 Suction-Side 4.022 −1.800 30 15 Suction-Side 4.579 −1.989 30 16 Suction-Side 5.141 −2.156 30 17 Suction-Side 5.707 −2.300 30 18 Suction-Side 6.278 −2.422 30 19 Suction-Side 6.853 −2.522 30 20 Suction-Side 7.433 −2.598 30 21 Suction-Side 8.016 −2.653 30 22 Suction-Side 8.605 −2.683 30 23 Suction-Side 9.196 −2.691 30 24 Suction-Side 9.784 −2.676 30 25 Suction-Side 10.368 −2.637 30 26 Suction-Side 10.950 −2.577 30 27 Suction-Side 11.528 −2.495 30 28 Suction-Side 12.104 −2.393 30 29 Suction-Side 12.676 −2.269 30 30 Suction-Side 13.246 −2.125 30 31 Suction-Side 13.813 −1.960 30 32 Suction-Side 14.373 −1.777 30 33 Suction-Side 14.924 −1.576 30 34 Suction-Side 15.467 −1.360 30 35 Suction-Side 16.002 −1.126 30 36 Suction-Side 16.529 −0.878 30 37 Suction-Side 17.049 −0.615 30 38 Suction-Side 17.561 −0.337 30 39 Suction-Side 18.066 −0.046 30 40 Suction-Side 18.565 0.259 30 41 Suction-Side 19.057 0.578 30 42 Suction-Side 19.542 0.909 30 43 Suction-Side 20.020 1.253 30 44 Suction-Side 20.489 1.606 30 45 Suction-Side 20.949 1.968 30 46 Suction-Side 21.399 2.339 30 47 Suction-Side 21.841 2.719 30 48 Suction-Side 22.275 3.107 30 49 Suction-Side 22.701 3.503 30 50 Suction-Side 23.119 3.907 30 51 Suction-Side 23.530 4.318 30 52 Suction-Side 23.933 4.736 30 53 Suction-Side 24.329 5.162 30 54 Suction-Side 24.719 5.593 30 55 Suction-Side 25.101 6.032 30 56 Suction-Side 25.478 6.477 30 57 Suction-Side 25.847 6.928 30 58 Suction-Side 26.212 7.386 30 59 Suction-Side 26.570 7.848 30 60 Suction-Side 26.924 8.316 30 61 Suction-Side 27.273 8.787 30 62 Suction-Side 27.617 9.262 30 63 Suction-Side 27.957 9.739 30 64 Suction-Side 28.293 10.219 30 65 Suction-Side 28.625 10.702 30 66 Suction-Side 28.954 11.187 30 67 Suction-Side 29.280 11.674 30 68 Suction-Side 29.603 12.163 30 69 Suction-Side 29.923 12.654 30 70 Suction-Side 30.240 13.147 30 71 Suction-Side 30.555 13.642 30 72 Suction-Side 30.867 14.138 30 73 Suction-Side 31.177 14.635 30 74 Suction-Side 31.485 15.134 30 75 Suction-Side 31.791 15.634 30 76 Suction-Side 32.095 16.135 30 77 Suction-Side 32.397 16.638 30 78 Suction-Side 32.697 17.141 30 79 Suction-Side 32.995 17.646 30 80 Suction-Side 33.292 18.151 30 81 Suction-Side 33.588 18.658 30 82 Suction-Side 33.882 19.165 30 83 Suction-Side 34.174 19.673 30 84 Suction-Side 34.465 20.182 30 85 Suction-Side 34.755 20.691 30 86 Suction-Side 35.044 21.202 30 87 Suction-Side 35.331 21.713 30 88 Suction-Side 35.617 22.224 30 89 Suction-Side 35.902 22.736 30 90 Suction-Side 36.186 23.249 30 91 Suction-Side 36.470 23.763 30 92 Suction-Side 36.751 24.277 30 93 Suction-Side 37.032 24.791 30 94 Suction-Side 37.313 25.306 30 95 Suction-Side 37.592 25.822 30 96 Suction-Side 37.870 26.338 30 97 Suction-Side 37.901 26.434 30 98 Suction-Side 37.895 26.535 30 99 Suction-Side 37.854 26.628 30 100 Suction-Side 37.782 26.699 30 101 Pressure-Side −1.076 3.234 30 102 Pressure-Side −0.921 3.721 30 103 Pressure-Side −0.657 4.156 30 104 Pressure-Side −0.312 4.529 30 105 Pressure-Side 0.087 4.844 30 106 Pressure-Side 0.524 5.106 30 107 Pressure-Side 0.985 5.323 30 108 Pressure-Side 1.461 5.501 30 109 Pressure-Side 1.944 5.643 30 110 Pressure-Side 2.433 5.755 30 111 Pressure-Side 2.926 5.841 30 112 Pressure-Side 3.422 5.904 30 113 Pressure-Side 3.923 5.946 30 114 Pressure-Side 4.427 5.966 30 115 Pressure-Side 4.934 5.968 30 116 Pressure-Side 5.440 5.956 30 117 Pressure-Side 5.947 5.934 30 118 Pressure-Side 6.453 5.915 30 119 Pressure-Side 6.960 5.906 30 120 Pressure-Side 7.467 5.906 30 121 Pressure-Side 7.973 5.914 30 122 Pressure-Side 8.479 5.930 30 123 Pressure-Side 8.984 5.956 30 124 Pressure-Side 9.488 5.991 30 125 Pressure-Side 9.991 6.036 30 126 Pressure-Side 10.494 6.091 30 127 Pressure-Side 10.996 6.156 30 128 Pressure-Side 11.496 6.233 30 129 Pressure-Side 11.996 6.319 30 130 Pressure-Side 12.491 6.416 30 131 Pressure-Side 12.984 6.523 30 132 Pressure-Side 13.473 6.640 30 133 Pressure-Side 13.958 6.768 30 134 Pressure-Side 14.439 6.904 30 135 Pressure-Side 14.918 7.051 30 136 Pressure-Side 15.392 7.207 30 137 Pressure-Side 15.864 7.372 30 138 Pressure-Side 16.333 7.545 30 139 Pressure-Side 16.798 7.728 30 140 Pressure-Side 17.260 7.919 30 141 Pressure-Side 17.719 8.118 30 142 Pressure-Side 18.176 8.325 30 143 Pressure-Side 18.629 8.541 30 144 Pressure-Side 19.080 8.764 30 145 Pressure-Side 19.527 8.994 30 146 Pressure-Side 19.973 9.232 30 147 Pressure-Side 20.414 9.478 30 148 Pressure-Side 20.850 9.729 30 149 Pressure-Side 21.281 9.985 30 150 Pressure-Side 21.708 10.248 30 151 Pressure-Side 22.129 10.515 30 152 Pressure-Side 22.545 10.788 30 153 Pressure-Side 22.958 11.067 30 154 Pressure-Side 23.365 11.349 30 155 Pressure-Side 23.769 11.638 30 156 Pressure-Side 24.168 11.931 30 157 Pressure-Side 24.562 12.229 30 158 Pressure-Side 24.953 12.532 30 159 Pressure-Side 25.339 12.839 30 160 Pressure-Side 25.722 13.151 30 161 Pressure-Side 26.101 13.467 30 162 Pressure-Side 26.476 13.787 30 163 Pressure-Side 26.847 14.112 30 164 Pressure-Side 27.215 14.441 30 165 Pressure-Side 27.579 14.773 30 166 Pressure-Side 27.939 15.111 30 167 Pressure-Side 28.296 15.451 30 168 Pressure-Side 28.650 15.796 30 169 Pressure-Side 29.000 16.144 30 170 Pressure-Side 29.348 16.496 30 171 Pressure-Side 29.691 16.851 30 172 Pressure-Side 30.033 17.210 30 173 Pressure-Side 30.371 17.573 30 174 Pressure-Side 30.706 17.939 30 175 Pressure-Side 31.038 18.308 30 176 Pressure-Side 31.367 18.680 30 177 Pressure-Side 31.694 19.056 30 178 Pressure-Side 32.018 19.433 30 179 Pressure-Side 32.339 19.815 30 180 Pressure-Side 32.658 20.199 30 181 Pressure-Side 32.974 20.586 30 182 Pressure-Side 33.288 20.976 30 183 Pressure-Side 33.599 21.368 30 184 Pressure-Side 33.908 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Suction-Side 33.280 17.981 40 77 Suction-Side 33.593 18.500 40 78 Suction-Side 33.904 19.019 40 79 Suction-Side 34.212 19.539 40 80 Suction-Side 34.519 20.060 40 81 Suction-Side 34.823 20.583 40 82 Suction-Side 35.126 21.107 40 83 Suction-Side 35.427 21.631 40 84 Suction-Side 35.727 22.157 40 85 Suction-Side 36.025 22.683 40 86 Suction-Side 36.321 23.210 40 87 Suction-Side 36.616 23.739 40 88 Suction-Side 36.909 24.268 40 89 Suction-Side 37.201 24.798 40 90 Suction-Side 37.493 25.328 40 91 Suction-Side 37.782 25.859 40 92 Suction-Side 38.070 26.391 40 93 Suction-Side 38.357 26.924 40 94 Suction-Side 38.644 27.456 40 95 Suction-Side 38.930 27.989 40 96 Suction-Side 39.212 28.524 40 97 Suction-Side 39.242 28.620 40 98 Suction-Side 39.235 28.722 40 99 Suction-Side 39.195 28.815 40 100 Suction-Side 39.125 28.886 40 101 Pressure-Side −1.338 4.074 40 102 Pressure-Side −1.191 4.578 40 103 Pressure-Side −0.916 5.030 40 104 Pressure-Side −0.552 5.415 40 105 Pressure-Side −0.135 5.735 40 106 Pressure-Side 0.320 6.002 40 107 Pressure-Side 0.800 6.224 40 108 Pressure-Side 1.296 6.408 40 109 Pressure-Side 1.802 6.558 40 110 Pressure-Side 2.313 6.678 40 111 Pressure-Side 2.827 6.773 40 112 Pressure-Side 3.344 6.846 40 113 Pressure-Side 3.864 6.898 40 114 Pressure-Side 4.387 6.929 40 115 Pressure-Side 4.912 6.945 40 116 Pressure-Side 5.438 6.950 40 117 Pressure-Side 5.964 6.954 40 118 Pressure-Side 6.490 6.962 40 119 Pressure-Side 7.016 6.980 40 120 Pressure-Side 7.541 7.005 40 121 Pressure-Side 8.066 7.037 40 122 Pressure-Side 8.591 7.077 40 123 Pressure-Side 9.115 7.124 40 124 Pressure-Side 9.637 7.180 40 125 Pressure-Side 10.158 7.244 40 126 Pressure-Side 10.678 7.317 40 127 Pressure-Side 11.196 7.398 40 128 Pressure-Side 11.713 7.489 40 129 Pressure-Side 12.228 7.589 40 130 Pressure-Side 12.741 7.698 40 131 Pressure-Side 13.253 7.816 40 132 Pressure-Side 13.763 7.944 40 133 Pressure-Side 14.271 8.081 40 134 Pressure-Side 14.776 8.227 40 135 Pressure-Side 15.276 8.382 40 136 Pressure-Side 15.771 8.544 40 137 Pressure-Side 16.264 8.716 40 138 Pressure-Side 16.752 8.896 40 139 Pressure-Side 17.237 9.084 40 140 Pressure-Side 17.718 9.280 40 141 Pressure-Side 18.195 9.484 40 142 Pressure-Side 18.669 9.696 40 143 Pressure-Side 19.139 9.915 40 144 Pressure-Side 19.606 10.142 40 145 Pressure-Side 20.069 10.376 40 146 Pressure-Side 20.529 10.618 40 147 Pressure-Side 20.985 10.868 40 148 Pressure-Side 21.438 11.124 40 149 Pressure-Side 21.888 11.388 40 150 Pressure-Side 22.335 11.658 40 151 Pressure-Side 22.778 11.936 40 152 Pressure-Side 23.218 12.221 40 153 Pressure-Side 23.655 12.512 40 154 Pressure-Side 24.087 12.810 40 155 Pressure-Side 24.513 13.113 40 156 Pressure-Side 24.935 13.420 40 157 Pressure-Side 25.352 13.733 40 158 Pressure-Side 25.764 14.051 40 159 Pressure-Side 26.171 14.374 40 160 Pressure-Side 26.574 14.701 40 161 Pressure-Side 26.973 15.033 40 162 Pressure-Side 27.367 15.370 40 163 Pressure-Side 27.756 15.711 40 164 Pressure-Side 28.142 16.056 40 165 Pressure-Side 28.523 16.406 40 166 Pressure-Side 28.901 16.760 40 167 Pressure-Side 29.274 17.118 40 168 Pressure-Side 29.643 17.479 40 169 Pressure-Side 30.010 17.845 40 170 Pressure-Side 30.372 18.215 40 171 Pressure-Side 30.731 18.588 40 172 Pressure-Side 31.086 18.965 40 173 Pressure-Side 31.438 19.345 40 174 Pressure-Side 31.786 19.729 40 175 Pressure-Side 32.132 20.116 40 176 Pressure-Side 32.473 20.507 40 177 Pressure-Side 32.813 20.900 40 178 Pressure-Side 33.149 21.297 40 179 Pressure-Side 33.482 21.697 40 180 Pressure-Side 33.812 22.099 40 181 Pressure-Side 34.141 22.505 40 182 Pressure-Side 34.466 22.912 40 183 Pressure-Side 34.788 23.323 40 184 Pressure-Side 35.108 23.736 40 185 Pressure-Side 35.426 24.150 40 186 Pressure-Side 35.740 24.567 40 187 Pressure-Side 36.053 24.985 40 188 Pressure-Side 36.363 25.405 40 189 Pressure-Side 36.671 25.827 40 190 Pressure-Side 36.977 26.250 40 191 Pressure-Side 37.281 26.674 40 192 Pressure-Side 37.583 27.100 40 193 Pressure-Side 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Pressure-Side 20.657 11.817 50 146 Pressure-Side 21.138 12.063 50 147 Pressure-Side 21.615 12.317 50 148 Pressure-Side 22.088 12.578 50 149 Pressure-Side 22.558 12.847 50 150 Pressure-Side 23.025 13.123 50 151 Pressure-Side 23.487 13.407 50 152 Pressure-Side 23.946 13.699 50 153 Pressure-Side 24.402 13.998 50 154 Pressure-Side 24.855 14.304 50 155 Pressure-Side 25.303 14.617 50 156 Pressure-Side 25.746 14.936 50 157 Pressure-Side 26.183 15.261 50 158 Pressure-Side 26.615 15.590 50 159 Pressure-Side 27.042 15.925 50 160 Pressure-Side 27.463 16.266 50 161 Pressure-Side 27.880 16.611 50 162 Pressure-Side 28.292 16.961 50 163 Pressure-Side 28.698 17.316 50 164 Pressure-Side 29.101 17.676 50 165 Pressure-Side 29.498 18.040 50 166 Pressure-Side 29.891 18.409 50 167 Pressure-Side 30.280 18.783 50 168 Pressure-Side 30.665 19.160 50 169 Pressure-Side 31.045 19.542 50 170 Pressure-Side 31.422 19.927 50 171 Pressure-Side 31.794 20.317 50 172 Pressure-Side 32.163 20.711 50 173 Pressure-Side 32.527 21.108 50 174 Pressure-Side 32.888 21.510 50 175 Pressure-Side 33.246 21.915 50 176 Pressure-Side 33.600 22.323 50 177 Pressure-Side 33.951 22.735 50 178 Pressure-Side 34.298 23.150 50 179 Pressure-Side 34.642 23.568 50 180 Pressure-Side 34.984 23.989 50 181 Pressure-Side 35.322 24.413 50 182 Pressure-Side 35.658 24.840 50 183 Pressure-Side 35.991 25.269 50 184 Pressure-Side 36.322 25.701 50 185 Pressure-Side 36.650 26.135 50 186 Pressure-Side 36.975 26.571 50 187 Pressure-Side 37.298 27.008 50 188 Pressure-Side 37.619 27.447 50 189 Pressure-Side 37.938 27.888 50 190 Pressure-Side 38.255 28.330 50 191 Pressure-Side 38.570 28.773 50 192 Pressure-Side 38.884 29.218 50 193 Pressure-Side 39.196 29.663 50 194 Pressure-Side 39.507 30.109 50 195 Pressure-Side 39.816 30.556 50 196 Pressure-Side 40.125 31.004 50 197 Pressure-Side 40.194 31.072 50 198 Pressure-Side 40.284 31.109 50 199 Pressure-Side 40.380 31.109 50 200 Pressure-Side 40.469 31.072 50 1 Suction-Side −1.694 5.582 60 2 Suction-Side 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Suction-Side 31.836 15.801 60 66 Suction-Side 32.208 16.322 60 67 Suction-Side 32.577 16.846 60 68 Suction-Side 32.941 17.373 60 69 Suction-Side 33.301 17.903 60 70 Suction-Side 33.657 18.436 60 71 Suction-Side 34.009 18.971 60 72 Suction-Side 34.357 19.509 60 73 Suction-Side 34.702 20.048 60 74 Suction-Side 35.043 20.590 60 75 Suction-Side 35.381 21.134 60 76 Suction-Side 35.716 21.680 60 77 Suction-Side 36.048 22.227 60 78 Suction-Side 36.377 22.777 60 79 Suction-Side 36.703 23.329 60 80 Suction-Side 37.027 23.882 60 81 Suction-Side 37.348 24.436 60 82 Suction-Side 37.666 24.992 60 83 Suction-Side 37.982 25.550 60 84 Suction-Side 38.296 26.108 60 85 Suction-Side 38.608 26.668 60 86 Suction-Side 38.917 27.229 60 87 Suction-Side 39.223 27.792 60 88 Suction-Side 39.528 28.355 60 89 Suction-Side 39.832 28.920 60 90 Suction-Side 40.132 29.486 60 91 Suction-Side 40.432 30.052 60 92 Suction-Side 40.729 30.620 60 93 Suction-Side 41.024 31.188 60 94 Suction-Side 41.318 31.758 60 95 Suction-Side 41.610 32.328 60 96 Suction-Side 41.900 32.899 60 97 Suction-Side 41.928 32.994 60 98 Suction-Side 41.921 33.095 60 99 Suction-Side 41.882 33.187 60 100 Suction-Side 41.814 33.257 60 101 Pressure-Side −1.694 5.582 60 102 Pressure-Side −1.586 6.138 60 103 Pressure-Side −1.326 6.646 60 104 Pressure-Side −0.960 7.083 60 105 Pressure-Side −0.530 7.454 60 106 Pressure-Side −0.056 7.771 60 107 Pressure-Side 0.446 8.041 60 108 Pressure-Side 0.968 8.273 60 109 Pressure-Side 1.500 8.470 60 110 Pressure-Side 2.040 8.638 60 111 Pressure-Side 2.586 8.780 60 112 Pressure-Side 3.137 8.899 60 113 Pressure-Side 3.694 8.997 60 114 Pressure-Side 4.255 9.077 60 115 Pressure-Side 4.819 9.145 60 116 Pressure-Side 5.384 9.207 60 117 Pressure-Side 5.948 9.275 60 118 Pressure-Side 6.511 9.348 60 119 Pressure-Side 7.075 9.423 60 120 Pressure-Side 7.638 9.501 60 121 Pressure-Side 8.200 9.582 60 122 Pressure-Side 8.761 9.668 60 123 Pressure-Side 9.322 9.759 60 124 Pressure-Side 9.881 9.855 60 125 Pressure-Side 10.440 9.955 60 126 Pressure-Side 10.997 10.062 60 127 Pressure-Side 11.553 10.173 60 128 Pressure-Side 12.108 10.291 60 129 Pressure-Side 12.662 10.415 60 130 Pressure-Side 13.215 10.546 60 131 Pressure-Side 13.766 10.683 60 132 Pressure-Side 14.316 10.827 60 133 Pressure-Side 14.863 10.978 60 134 Pressure-Side 15.408 11.136 60 135 Pressure-Side 15.948 11.300 60 136 Pressure-Side 16.487 11.473 60 137 Pressure-Side 17.020 11.652 60 138 Pressure-Side 17.552 11.838 60 139 Pressure-Side 18.079 12.032 60 140 Pressure-Side 18.603 12.233 60 141 Pressure-Side 19.124 12.442 60 142 Pressure-Side 19.641 12.658 60 143 Pressure-Side 20.154 12.883 60 144 Pressure-Side 20.664 13.115 60 145 Pressure-Side 21.170 13.355 60 146 Pressure-Side 21.673 13.603 60 147 Pressure-Side 22.172 13.858 60 148 Pressure-Side 22.667 14.122 60 149 Pressure-Side 23.158 14.393 60 150 Pressure-Side 23.646 14.673 60 151 Pressure-Side 24.131 14.960 60 152 Pressure-Side 24.611 15.256 60 153 Pressure-Side 25.088 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29.837 90 177 Pressure-Side 38.194 30.294 90 178 Pressure-Side 38.616 30.757 90 179 Pressure-Side 39.034 31.224 90 180 Pressure-Side 39.447 31.696 90 181 Pressure-Side 39.856 32.173 90 182 Pressure-Side 40.261 32.655 90 183 Pressure-Side 40.661 33.141 90 184 Pressure-Side 41.059 33.632 90 185 Pressure-Side 41.452 34.126 90 186 Pressure-Side 41.841 34.624 90 187 Pressure-Side 42.225 35.125 90 188 Pressure-Side 42.606 35.629 90 189 Pressure-Side 42.983 36.136 90 190 Pressure-Side 43.356 36.645 90 191 Pressure-Side 43.726 37.158 90 192 Pressure-Side 44.093 37.672 90 193 Pressure-Side 44.456 38.189 90 194 Pressure-Side 44.817 38.708 90 195 Pressure-Side 45.175 39.229 90 196 Pressure-Side 45.530 39.751 90 197 Pressure-Side 45.594 39.815 90 198 Pressure-Side 45.676 39.850 90 199 Pressure-Side 45.766 39.850 90 200 Pressure-Side 45.848 39.814 90 1 Suction-Side −2.279 8.154 100 2 Suction-Side −2.003 7.489 100 3 Suction-Side −1.548 6.929 100 4 Suction-Side −0.982 6.488 100 5 Suction-Side −0.349 6.144 100 6 Suction-Side 0.317 5.882 100 7 Suction-Side 1.007 5.684 100 8 Suction-Side 1.710 5.539 100 9 Suction-Side 2.416 5.439 100 10 Suction-Side 3.123 5.373 100 11 Suction-Side 3.832 5.329 100 12 Suction-Side 4.540 5.302 100 13 Suction-Side 5.250 5.293 100 14 Suction-Side 5.961 5.303 100 15 Suction-Side 6.672 5.329 100 16 Suction-Side 7.384 5.371 100 17 Suction-Side 8.095 5.430 100 18 Suction-Side 8.802 5.506 100 19 Suction-Side 9.505 5.595 100 20 Suction-Side 10.205 5.701 100 21 Suction-Side 10.901 5.820 100 22 Suction-Side 11.594 5.954 100 23 Suction-Side 12.283 6.103 100 24 Suction-Side 12.968 6.265 100 25 Suction-Side 13.650 6.441 100 26 Suction-Side 14.329 6.631 100 27 Suction-Side 15.004 6.834 100 28 Suction-Side 15.676 7.052 100 29 Suction-Side 16.345 7.282 100 30 Suction-Side 17.010 7.526 100 31 Suction-Side 17.671 7.782 100 32 Suction-Side 18.331 8.053 100 33 Suction-Side 18.984 8.335 100 34 Suction-Side 19.631 8.629 100 35 Suction-Side 20.271 8.935 100 36 Suction-Side 20.905 9.252 100 37 Suction-Side 21.531 9.580 100 38 Suction-Side 22.151 9.919 100 39 Suction-Side 22.765 10.268 100 40 Suction-Side 23.372 10.628 100 41 Suction-Side 23.972 10.999 100 42 Suction-Side 24.566 11.380 100 43 Suction-Side 25.154 11.771 100 44 Suction-Side 25.736 12.172 100 45 Suction-Side 26.311 12.583 100 46 Suction-Side 26.881 13.005 100 47 Suction-Side 27.444 13.436 100 48 Suction-Side 28.001 13.877 100 49 Suction-Side 28.553 14.328 100 50 Suction-Side 29.096 14.788 100 51 Suction-Side 29.632 15.255 100 52 Suction-Side 30.160 15.731 100 53 Suction-Side 30.681 16.214 100 54 Suction-Side 31.195 16.705 100 55 Suction-Side 31.700 17.204 100 56 Suction-Side 32.199 17.710 100 57 Suction-Side 32.691 18.225 100 58 Suction-Side 33.176 18.746 100 59 Suction-Side 33.653 19.275 100 60 Suction-Side 34.122 19.809 100 61 Suction-Side 34.584 20.349 100 62 Suction-Side 35.038 20.894 100 63 Suction-Side 35.485 21.446 100 64 Suction-Side 35.925 22.001 100 65 Suction-Side 36.358 22.563 100 66 Suction-Side 36.785 23.129 100 67 Suction-Side 37.206 23.700 100 68 Suction-Side 37.621 24.276 100 69 Suction-Side 38.029 24.856 100 70 Suction-Side 38.432 25.440 100 71 Suction-Side 38.829 26.028 100 72 Suction-Side 39.221 26.621 100 73 Suction-Side 39.608 27.217 100 74 Suction-Side 39.990 27.817 100 75 Suction-Side 40.366 28.421 100 76 Suction-Side 40.738 29.027 100 77 Suction-Side 41.105 29.636 100 78 Suction-Side 41.466 30.248 100 79 Suction-Side 41.823 30.863 100 80 Suction-Side 42.176 31.481 100 81 Suction-Side 42.524 32.101 100 82 Suction-Side 42.869 32.724 100 83 Suction-Side 43.209 33.348 100 84 Suction-Side 43.544 33.975 100 85 Suction-Side 43.876 34.605 100 86 Suction-Side 44.203 35.236 100 87 Suction-Side 44.527 35.869 100 88 Suction-Side 44.846 36.505 100 89 Suction-Side 45.162 37.142 100 90 Suction-Side 45.474 37.781 100 91 Suction-Side 45.783 38.422 100 92 Suction-Side 46.089 39.064 100 93 Suction-Side 46.390 39.708 100 94 Suction-Side 46.689 40.354 100 95 Suction-Side 46.985 41.001 100 96 Suction-Side 47.277 41.649 100 97 Suction-Side 47.302 41.746 100 98 Suction-Side 47.294 41.847 100 99 Suction-Side 47.256 41.939 100 100 Suction-Side 47.189 42.011 100 101 Pressure-Side −2.279 8.154 100 102 Pressure-Side −2.340 8.808 100 103 Pressure-Side −2.230 9.456 100 104 Pressure-Side −1.987 10.070 100 105 Pressure-Side −1.651 10.633 100 106 Pressure-Side −1.252 11.147 100 107 Pressure-Side −0.805 11.620 100 108 Pressure-Side −0.319 12.058 100 109 Pressure-Side 0.197 12.463 100 110 Pressure-Side 0.735 12.836 100 111 Pressure-Side 1.293 13.180 100 112 Pressure-Side 1.865 13.497 100 113 Pressure-Side 2.450 13.790 100 114 Pressure-Side 3.042 14.061 100 115 Pressure-Side 3.641 14.316 100 116 Pressure-Side 4.247 14.555 100 117 Pressure-Side 4.858 14.783 100 118 Pressure-Side 5.474 15.001 100 119 Pressure-Side 6.092 15.210 100 120 Pressure-Side 6.714 15.411 100 121 Pressure-Side 7.338 15.606 100 122 Pressure-Side 7.963 15.795 100 123 Pressure-Side 8.589 15.981 100 124 Pressure-Side 9.217 16.165 100 125 Pressure-Side 9.844 16.347 100 126 Pressure-Side 10.471 16.530 100 127 Pressure-Side 11.099 16.713 100 128 Pressure-Side 11.725 16.897 100 129 Pressure-Side 12.352 17.084 100 130 Pressure-Side 12.977 17.273 100 131 Pressure-Side 13.601 17.466 100 132 Pressure-Side 14.224 17.663 100 133 Pressure-Side 14.845 17.863 100 134 Pressure-Side 15.466 18.069 100 135 Pressure-Side 16.085 18.278 100 136 Pressure-Side 16.702 18.492 100 137 Pressure-Side 17.317 18.711 100 138 Pressure-Side 17.931 18.934 100 139 Pressure-Side 18.542 19.163 100 140 Pressure-Side 19.152 19.396 100 141 Pressure-Side 19.759 19.635 100 142 Pressure-Side 20.364 19.879 100 143 Pressure-Side 20.966 20.129 100 144 Pressure-Side 21.566 20.383 100 145 Pressure-Side 22.163 20.644 100 146 Pressure-Side 22.757 20.910 100 147 Pressure-Side 23.348 21.182 100 148 Pressure-Side 23.937 21.460 100 149 Pressure-Side 24.523 21.744 100 150 Pressure-Side 25.106 22.034 100 151 Pressure-Side 25.685 22.331 100 152 Pressure-Side 26.262 22.635 100 153 Pressure-Side 26.836 22.945 100 154 Pressure-Side 27.406 23.261 100 155 Pressure-Side 27.974 23.585 100 156 Pressure-Side 28.537 23.916 100 157 Pressure-Side 29.096 24.253 100 158 Pressure-Side 29.652 24.597 100 159 Pressure-Side 30.201 24.947 100 160 Pressure-Side 30.746 25.303 100 161 Pressure-Side 31.286 25.666 100 162 Pressure-Side 31.819 26.035 100 163 Pressure-Side 32.347 26.409 100 164 Pressure-Side 32.869 26.790 100 165 Pressure-Side 33.385 27.177 100 166 Pressure-Side 33.896 27.570 100 167 Pressure-Side 34.402 27.970 100 168 Pressure-Side 34.902 28.375 100 169 Pressure-Side 35.396 28.786 100 170 Pressure-Side 35.886 29.204 100 171 Pressure-Side 36.369 29.628 100 172 Pressure-Side 36.847 30.057 100 173 Pressure-Side 37.321 30.494 100 174 Pressure-Side 37.789 30.935 100 175 Pressure-Side 38.251 31.383 100 176 Pressure-Side 38.708 31.837 100 177 Pressure-Side 39.161 32.297 100 178 Pressure-Side 39.608 32.762 100 179 Pressure-Side 40.051 33.232 100 180 Pressure-Side 40.488 33.708 100 181 Pressure-Side 40.921 34.190 100 182 Pressure-Side 41.349 34.677 100 183 Pressure-Side 41.773 35.169 100 184 Pressure-Side 42.192 35.666 100 185 Pressure-Side 42.607 36.168 100 186 Pressure-Side 43.018 36.675 100 187 Pressure-Side 43.423 37.186 100 188 Pressure-Side 43.823 37.701 100 189 Pressure-Side 44.220 38.220 100 190 Pressure-Side 44.611 38.743 100 191 Pressure-Side 44.997 39.269 100 192 Pressure-Side 45.379 39.798 100 193 Pressure-Side 45.756 40.331 100 194 Pressure-Side 46.130 40.866 100 195 Pressure-Side 46.500 41.404 100 196 Pressure-Side 46.865 41.945 100 197 Pressure-Side 46.930 42.011 100 198 Pressure-Side 47.014 42.048 100 199 Pressure-Side 47.105 42.047 100 200 Pressure-Side 47.189 42.011 100

The disclosed airfoil shape provides a unique profile to achieve: 1) interaction between other stages in turbine 108 (FIG. 1); 2) aerodynamic efficiency; and 3) normalized aerodynamic and mechanical nozzle or airfoil loadings. The disclosed loci of points defined in TABLE I allow GT system 100 or any other suitable turbine system to run in an efficient, safe and smooth manner. As also noted, any scale of the disclosed airfoil 130 may be adopted as long as: 1) interaction between other stages in the pressure turbine 108 (FIG. 1); 2) aerodynamic efficiency; and 3) normalized aerodynamic and mechanical nozzle or airfoil loadings, are maintained in the scaled turbine.

Airfoil 130 described herein thus improves overall GT system 100 efficiency. Specifically, airfoil 130 provides a desired turbine efficiency lapse rate (ISO, hot, cold, part load, etc.). Airfoil 130 also meets all aeromechanical and stress requirements. Turbine nozzle 112 described herein has very specific aerodynamic design requirements. Significant cross-functional design effort was required to meet these design goals. Airfoil 130 of turbine nozzle 112 thus possesses a specific shape to meet aerodynamic, mechanical, and heat transfer requirements in an efficient and cost effective manner.

The apparatus and devices of the present disclosure are not limited to any one particular turbomachine, engine, turbine, jet engine, power generation system or other system, and may be used with other turbomachines such as aircraft systems, power generation systems and/or related systems (e.g., combined cycle, simple cycle, nuclear reactor, etc.). Additionally, the apparatus of the present disclosure may be used with other systems not described herein that may benefit from the increased efficiency of the apparatus and devices described herein.

Approximating language, as used herein throughout the specification and claims, may be applied to modify any quantitative representation that could permissibly vary without resulting in a change in the basic function to which it is related. Accordingly, a value modified by a term or terms, such as “about,” “approximately” and “substantially,” are not to be limited to the precise value specified. In at least some instances, the approximating language may correspond to the precision of an instrument for measuring the value. Here and throughout the specification and claims, range limitations may be combined and/or interchanged; such ranges are identified and include all the sub-ranges contained therein unless context or language indicates otherwise. “Approximately” as applied to a particular value of a range applies to both end values, and unless otherwise dependent on the precision of the instrument measuring the value, may indicate +/−10% of the stated value(s).

The corresponding structures, materials, acts, and equivalents of all means or step plus function elements in the claims below are intended to include any structure, material, or act for performing the function in combination with other claimed elements as specifically claimed. The description of the present disclosure has been presented for purposes of illustration and description but is not intended to be exhaustive or limited to the disclosure in the form disclosed. Many modifications and variations will be apparent to those of ordinary skill in the art without departing from the scope and spirit of the disclosure. The embodiment was chosen and described in order to best explain the principles of the disclosure and the practical application and to enable others of ordinary skill in the art to understand the disclosure for various embodiments with various modifications as are suited to the particular use contemplated. 

We claim:
 1. A turbine nozzle comprising: an airfoil having: a suction side, a pressure side opposing the suction side, a leading edge spanning between the pressure side and the suction side, and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and at least one endwall connected with the airfoil along the suction side, the pressure side, the trailing edge and the leading edge, wherein at least one of a suction side or a pressure side of the airfoil has a shape having a nominal profile substantially in accordance with at least a portion of Cartesian coordinate values of X, Y and Z set forth in TABLE I, wherein the Cartesian coordinate values are non-dimensional values of from 0% to 100% convertible to distances by multiplying the values by a height of the airfoil expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define airfoil profile sections at each distance Z along at least a portion of the airfoil, the airfoil profile sections at the Z distances being joined smoothly with one another to form the nominal profile; wherein each portion of the at least one portion of the Cartesian coordinate values is defined by a span section of the airfoil in the z direction.
 2. The turbine nozzle of claim 1, further comprising a fillet connecting a surface of the at least one endwall to a surface of the airfoil.
 3. The turbine nozzle of claim 1, wherein the at least one endwall includes an inner endwall or an outer endwall.
 4. The turbine nozzle of claim 1, wherein the turbine nozzle includes a fourth stage nozzle.
 5. The turbine nozzle of claim 1, wherein the shape having the nominal profile substantially in accordance with the at least a portion of Cartesian coordinate values of X, Y and Z set forth in TABLE I includes the airfoil profile sections defined within 10% and 90% of the height of the airfoil.
 6. The turbine nozzle of claim 1, wherein the shape having the nominal profile substantially in accordance with the at least a portion of Cartesian coordinate values of X, Y and Z set forth in TABLE I includes the airfoil profile sections defined within 5% and 95% of the height of the airfoil.
 7. A static nozzle section for a turbine, the static nozzle section comprising: a set of static nozzles, the set of static nozzles including at least one nozzle having: an airfoil having: a suction side, a pressure side opposing the suction side, a leading edge spanning between the pressure side and the suction side, and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and at least one endwall connected with the airfoil along the suction side, the pressure side, the trailing edge and the leading edge, wherein at least one of a suction side or a pressure side of the airfoil has a shape having a nominal profile substantially in accordance with at least a portion of Cartesian coordinate values of X, Y and Z set forth in TABLE I, wherein the Cartesian coordinate values are non-dimensional values of from 0% to 100% convertible to distances by multiplying the values by a height of the airfoil expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define airfoil profile sections at each distance Z along at least a portion of the airfoil, the airfoil profile sections at the Z distances being joined smoothly with one another to form the nominal profile; wherein each portion of the at least one portion of the Cartesian coordinate values is defined by a span section of the airfoil in the z direction.
 8. The static nozzle section of claim 7, further comprising a fillet connecting a surface of the at least one endwall to a surface of the airfoil.
 9. The static nozzle section of claim 7, wherein the at least one endwall includes an inner endwall or an outer endwall.
 10. The static nozzle section of claim 7, wherein the static nozzle section is a fourth stage nozzle section.
 11. The static nozzle section of claim 7, wherein the shape having the nominal profile substantially in accordance with at least a portion of Cartesian coordinate values of X, Y and Z set forth in TABLE I includes the airfoil profile sections defined within 10% and 90% of the height of the airfoil.
 12. The static nozzle section of claim 7, wherein the shape having the nominal profile substantially in accordance with at least a portion of Cartesian coordinate values of X, Y and Z set forth in TABLE I includes the airfoil profile sections defined within 5% and 95% of the height of the airfoil.
 13. A turbine comprising a plurality of turbine nozzles, each of the turbine nozzles comprising: an airfoil having: a suction side, a pressure side opposing the suction side, a leading edge spanning between the pressure side and the suction side, and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and at least one endwall connected with the airfoil along the suction side, the pressure side, the trailing edge and the leading edge, wherein at least one of a suction side or a pressure side of the airfoil has a shape having a nominal profile substantially in accordance with at least a portion of Cartesian coordinate values of X, Y and Z set forth in TABLE I, wherein the Cartesian coordinate values are non-dimensional values of from 0% to 100% convertible to distances by multiplying the values by a height of the airfoil expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define airfoil profile sections at each distance Z along at least a portion of the airfoil, the airfoil profile sections at the Z distances being joined smoothly with one another to form the nominal profile; wherein each portion of the at least one portion of the Cartesian coordinate values is defined by a span section of the airfoil in the z direction.
 14. The turbine of claim 13, further comprising a fillet connecting a surface of the at least one endwall to a surface of the airfoil.
 15. The turbine of claim 13, wherein the at least one endwall includes an inner endwall or an outer endwall.
 16. The turbine of claim 13, wherein the turbine nozzle includes a fourth stage nozzle.
 17. The turbine of claim 13, wherein the shape having the nominal profile substantially in accordance with the at least a portion of Cartesian coordinate values of X, Y and Z set forth in TABLE I includes the airfoil profile sections defined within 10% and 90% of the height of the airfoil.
 18. The turbine of claim 13, wherein the shape having the nominal profile substantially in accordance with the at least a portion of Cartesian coordinate values of X, Y and Z set forth in TABLE I includes the airfoil profile sections defined within 5% and 95% of the height of the airfoil. 